Superconvergence analysis of FEMs for the Stokes-Darcy system

We consider a superconvergence analysis for quadratic finite element approximations of the Stokes–Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a pos...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2010-09, Vol.33 (13), p.1605-1617
Main Authors: Chen, Wenbin, Chen, Puying, Gunzburger, Max, Yan, Ningning
Format: Article
Language:English
Subjects:
Approximation
Exact sciences and technology
Finite element method
Hood-Taylor element
Mathematical analysis
Mathematical models
Mathematics
Partial differential equations
Sciences and techniques of general use
Stokes and Darcy equations
superconvergence
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Summary:We consider a superconvergence analysis for quadratic finite element approximations of the Stokes–Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
1099-1476
DOI:10.1002/mma.1279